Triple Tan

Geometry Level 5

[tanα2tanβ2+8+tanβ2tanγ2+8+tanγ2tanα2+8]2\large \left[ \sqrt{ \tan \dfrac {\alpha}{2} \tan \dfrac {\beta}{2} + 8} + \sqrt{ \tan \dfrac {\beta}{2} \tan \dfrac {\gamma}{2} + 8} + \sqrt{ \tan \dfrac {\gamma}{2} \tan \dfrac {\alpha}{2} + 8} \right]^2

Triangle ABCABC has angles α,β,γ \alpha, \beta, \gamma. What is the maximum value of the expression above.

×

Problem Loading...

Note Loading...

Set Loading...